एक बल्ब पर (100 W, 110 V) अंकित है। इसे एक अपचायी ट्रांसफॉर्मर (step-down transformer) द्वारा आपूर्ति की जाने वाली 1.0 A की धारा पर संचालित किया जाता है। यदि ट्रांसफॉर्मर का इनपुट वोल्टेज और दक्षता क्रमशः 220 V और 0.9 हैं, तो मुख्य लाइन (mains) से ली गई इनपुट धारा कितनी है?

A circuit consists of an inductor L, capacitor C, and resistor R arranged such that: • Initially, the capacitor is uncharged and no current flows. • At t = 0, switch S1 is closed to establish a steady state. • At t = t0, S1 is opened and S2 is closed, forming an isolated LC loop. • At t = t0+, the current in the inductor is I0 and the capacitor has charge Q0. Match List-I with List-II: List-I: (P) Energy stored in inductor at t = t0+ (Q) Maximum charge on capacitor during oscillation (R) Phase difference between charge and current (S) Time interval after t0 when current becomes zero for the first time List-II: (1) √(Q02 + L I02 C) (2) 12 L I02 (3) π2 (4) πω (5) π2ω

An ideal inductor is connected across a capacitor. Oscillations of energy K are set up in the circuit. The capacitor plates are slowly drawn apart such that the frequency of oscillations is quadrupled. The work done in the process is: